Regulatores PID et Controllo PID in Systematibus Controlis

PID control significat proportional–integral–derivative control. PID control est mechanismus feedback usus in systemate control. Hoc genus controlis etiam dicitur tria-termorum control, et implementatur per PID Controller. Per calculandum et controlandum tria parametra – proportional, integral et derivative quanti variabilis processus deviat a desiderato valore puncti set – potest efficere diversa actiones controlis pro opere specifico.

PID controllers considerantur optimi controller in familia systematis control. Nicholas Minorsky publicavit theoricam analysis paper de PID controller. Pro PID control signum actuantis constat ex proportional error signal addito cum derivative et integral error signal. Itaque, signum actuantis pro PID control est:

Laplace transform signi actuantis incorporantis PID control est

Sunt quaedam actiones controlis quae possunt effici per utrumque duorum parametrorum PID controller. Duo parametri possunt operari dum tertius maneat ad zero. Ita PID controller quandoque fit PI (proportion-integral), PD (proportional-derivative) vel etiam P vel I. Derivative terminus D est responsabilis pro mensura noise, dum integral terminus intendit attingere valorem target systematis. In diebus antiquis PID controller usus erat ut dispositivum mechanicum. Hi erant pneumatici controllers, compressi aere. Dispositiva mechanica includunt spring, lever vel mass. Multa complexa systemata electronica praebentur cum PID control loop. In diebus modernis PID controllers usantur in PLC (programmable logic controllers) in industria. Proportional, derivative et integral parametri possunt exprimi ut – Kp, Kd et Ki. Omnes hi tres parametri habent effectum in closed loop control system. Affectant tempus rise, tempus settling et overshoot etiam steady state error.

PID control combinat advantagia actionum controlis proportional, derivative et integral. Discutamus haec actiones controlis breviter.

Proportional Control: Hic signum actuantis pro actione controlis in systemate control proportional est ad error signal. Error signal est differentia inter referentem input signal et feedback signal acceptum ab input.

Derivative Control: Signum actuantis constat ex proportional error signal addito cum derivative error signal. Itaque, signum actuantis pro actione controlis derivative datur per,

Integral Control: Pro actione controlis integral signum actuantis constat ex proportional error signal addito cum integral error signal. Itaque, signum actuantis pro actione controlis integral datur per

A PID controller habet aliquas limitationes etiam praeterquam esse unum ex optimis controller in systemate actionis control. PID control applicatur ad multas actiones control sed non perficit bene in casu controlis optimalis. Principale inconvenientium est via feedback. PID non praebitur ullum modello processus. Alia incommoda sunt quod PID est systema linear et pars derivative sensitiva ad noise. Parva quantitas noise potest causare magnam mutationem in output.

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